Sampling Actual Signal (7.1) Consider the sampling of real signal a) Typically a

Question

Sampling Actual Signal (7.1)
Consider the sampling of real signal
a) Typically a speech signal that can be understood over a telephone shows frequencies from 100 to 5 Khz. What would be the sampling frequency fs(sample/sec) what would be used to sample speech without aliasing? How many samples would you need to save when storing an hour of spech? If each sample is presented by 8 bits, how many bits would you have too save for an hour of speech?
b) A music signal typpically displays frequencies from 1 up to 22 Khz. What would be the sampling frequency fs that would be used in a cd player?
c) If you have a signal that combines voice and musical instruments, what sampling frequency would yoou use to sample the signal? How would the signal sound if played at different frequency lower than the Nyquist sampling frequency?




From:

Chaparr0, Luis. (2011). Signals and Systems Using MATLAB
St. Louis, MO: Elsevier Publishing.
ISBN: 9780123747167

Explanation / Answer

The sampling frequency should be atleast twice the maximum frequency present in the signal to avoid aliasing so in the first case the maximum frequency present is 5Khz The sampling frequncy should be atleast 10Khz to avoid aliasing The samples in an hour of speech is 10000*60*60 =36000000 The number of bits are = 8*36000000=288000000 bits 2) The maximum frequency present in the signal is 22Khz The sampling frequency should be atleast to avoid aliasing is 22*2Khz = 44Khz 3) The maximum frequency present is 22Khz To avoid aliasing sampling frequency should be atleast 44khz

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